6728141 has 24 divisors (see below), whose sum is σ = 8532216. Its totient is φ = 5268480.

The previous prime is 6728131. The next prime is 6728149. The reversal of 6728141 is 1418276.

It can be written as a sum of positive squares in 4 ways, for example, as 2019241 + 4708900 = 1421^2 + 2170^2 .

It is not a de Polignac number, because 6728141 - 2¹⁸ = 6465997 is a prime.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6728149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34055 + ... + 34251.

It is an arithmetic number, because the mean of its divisors is an integer number (355509).

Almost surely, 2^6728141 is an apocalyptic number.

It is an amenable number.

6728141 is a deficient number, since it is larger than the sum of its proper divisors (1804075).

6728141 is a wasteful number, since it uses less digits than its factorization.

6728141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 262 counting only the distinct ones).

The product of its digits is 2688, while the sum is 29.

The square root of 6728141 is about 2593.8660335491. The cubic root of 6728141 is about 188.7839323232.

The spelling of 6728141 in words is "six million, seven hundred twenty-eight thousand, one hundred forty-one".